Power of 9's - never subtract again

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Power of 9’s

Goal: Get to the number 9 with the numbers you're given.

Definition:
9’s compliment is 0 because it’s already 9.
8’s compliment is 1 because 8+1=9.
7’s compliment is 2 because 7+2=9.
6's compliment is 3 because 6+3=9.
5's compliment is 4 because 5+4=9.
etc.

Supposed you want to do this subtraction by only adding:

872 - 218 = ???

Take the higher number and get its 9’s compliment:

872 turns into 127 (8+1=9, 7+2=9, 2+7=9)

Take that number and add it to the second number in our equation:

127 + 218 = 345

Which gives you 345, now get its 9’s compliment and you have your answer:

345 turns into 654 (3+6=9, 4+5=9, 5+4=9)


In other words, 872 – 218 = 654 but I used only addition to find it!


Now you can add all your subtractions to get the answer! Silly party trick, but it shows the power of 9 and the glorious complexity of God's system.

By the way, anything multiplied by 9 sums to a product of 9.

9 x 2 = 18 (1+8=9)
145 x 99 = 14,355 (1+4+3+5+5=18 or 1+8=9)
 
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